The modeling of fluid transport in porous deformable media, and analyzing the coupled deformation-transport behavior, is of importance for a variety of engineering and scientific applications, ranging from the modeling of natural and engineered biological materials to geomechanics, e.g. [1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}, [9]}, [10]}, [11]}, [12]}, [13]}, [14]}, [15]}, [16]}, [17]}, [18]}, [5]}, [20]}, [21]} and numerous other works.
It has therefore been the focus of numerous formulations, starting from the seminal work of Biot [22]}, [23]}.
In this paper, we formulate a general finite-deformation model for poroelasticity based on a variational approach.
